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Nitrogen-13 has a half-life of 10 minutes. How much of a 128 mg sample would remain after 40 minutes?

Sagot :

The amount of nitrogen-13 sample that remained after 40 minutes has been 8 mg.

Half-life can be defined as the time required by the substance to reduce half of its initial concentration.

The half-life of Nitrogen-13 has been 10 minutes. In 10 minutes, the sample will be reduced to

of its concentration,

The total time has been 40 minutes.

The number of half-life experienced by the sample has:

Number of half-life = {Total-time}/{Half-life}

Number of half life cycles = {40}/{10}

The number of half-life cycles = 4

The sample has been reduced to 50% in the first half-life cycle,reduced to 25% in the 2nd half-life cycle, then 12.5% in 3rd half cycle and finally 6.25% by the end of 4th half cycle.

The sample remained = 6.25% of the initial concentration.

The sample remained = (6.25/100)

×128mg

The sample remained = 8 mg

Thus from above we concluded that the amount of nitrogen-13 sample that remained after 40 minutes has been 8 mg.

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